395421504 has 56 divisors (see below), whose sum is σ = 1050828480. Its totient is φ = 131226624.

The previous prime is 395421503. The next prime is 395421527. The reversal of 395421504 is 405124593.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (395421503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40317 + ... + 49155.

Almost surely, 2^395421504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 395421504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525414240).

395421504 is an abundant number, since it is smaller than the sum of its proper divisors (655406976).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

395421504 is a wasteful number, since it uses less digits than its factorization.

395421504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9087 (or 9077 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 395421504 is about 19885.2081708993. The cubic root of 395421504 is about 733.9842844480.

The spelling of 395421504 in words is "three hundred ninety-five million, four hundred twenty-one thousand, five hundred four".